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Please show: -Surface sketch -Path of max x-increase -Gradient of f at P -Max slope e=l+y2+z2 (a) There are two ways we can visualize this

Please show:

-Surface sketch

-Path of max x-increase

-Gradient of f at P

-Max slope

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e"=l+y2+z2 (a) There are two ways we can visualize this surface First, since we can isolate the variable x, we can think of S as the graph of the function f(y,z) =1n(l + y2 + 7.2). The vector Vf(P) in this case represents the direction in the yz-plane for which the corresponding path on the surface S at the point P sees the largest increase in the xdirection Sketch the surface S, mark the point P = (111(2), 0, I) ,draw the path on S in the direction of Vf(P), and compute the slope of this path (in the x-direction)

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